A 400 mm long square rod whose height and width are 20 mm by 20 mm made of isoto

Question

A 400 mm long square rod whose height and width are 20 mm by 20 mm made of isotopic homogenious material was observed to increase in length by 600 um and to decrease by 7 um when subjected to a 20 KN axial load. Find Modulus of Elasticity, E and Poisson's ratio of this material.

A 400 mm long square rod whose height and width are 20 mm by 20 mm made of isotopic homogenious material was observed to increase in length by 600 um and to decrease by 7 um when subjected to a 20 KN axial load. Find Modulus of Elasticity, E and Poisson's ratio of this material.

Explanation / Answer

stress applied = axial load/cross-section area => p = (20*10^3)/(20*20) = 50 N/mm^2 As per Hook's law, stress = E *strain => 50 = E *[(600*10^-3)/400] => E = 3.33 *10^4 N/mm^2 Poisson's ratio, u = -lateral strain/longitudinal strain => u = -[(-7*10^-3)/20]/[(600*10^-3)/400] => u = 0.233

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